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Minimizing the number of terms of the square of a polynomial


Best Answer Pickett, 24 July 2014 - 12:27 PM

Pickett,

 

can you come up with a different set with smaller magnitudes (as in absolute values) for a, b, c, and d?

Spoiler for Sure

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#1 Perhaps check it again

Perhaps check it again

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Posted 23 July 2014 - 05:42 AM

Suppose a, b, c, and d  belong to the set of nonzero integers.

 

Let  P(x)  =  (x+ ax3 + bx2 + cx + d)2.

 

 

Determine one of the sets of values of a, b, c, and d, such that when P(x) is

expanded into individual terms of an 8th degree polynomial, that polynomial

will have the fewest number of nonzero terms possible.

 

 

Bonus:

Write P(x) in its expanded form.


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#2 Pickett

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Posted 23 July 2014 - 01:58 PM

Spoiler for 2 answers


Edited by Pickett, 23 July 2014 - 02:04 PM.

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#3 Perhaps check it again

Perhaps check it again

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Posted 23 July 2014 - 07:00 PM

Pickett,

 

can you come up with a different set with smaller magnitudes (as in absolute values) for a, b, c, and d?


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#4 Pickett

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Posted 24 July 2014 - 12:27 PM   Best Answer

Pickett,

 

can you come up with a different set with smaller magnitudes (as in absolute values) for a, b, c, and d?

Spoiler for Sure


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